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Finding the Fourth Proportional to 4,855.17, 7,282.22 and 1,735.05

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Solution

The fourth proportional to 4,855.17, 7,282.22 and 1,735.05 is: 2,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855.17 : 7,282.22 = 1,735.05 : x
  2. Step 2: Convert to fraction form
    4,855.17/7,282.22 = 1,735.05/x
  3. Step 3: Cross multiply
    4,855.17x = 7,282.22 × 1,735.05
  4. Step 4: Simplify right side
    4,855.17x = 12,635,007.14
  5. Step 5: Solve for x
    x = 12,635,007.14/4,855.17
  6. Step 6: Final answer
    x = 2,602.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.